Math, asked by patharesagar, 11 months ago

The radius of a circle is 9cm. Find the length of an arc of this circle which cuts off a chord of length, equal to length of radius.

Answers

Answered by Swarup1998
14

Formula to find arc length:

    Arc length = 2πr (θ / 360°),

where r is the radius of the circle and θ is the central angle in degree.

Drawing a figure:

    Before we solve the problem, we draw a circle with centre A. We draw two radius in such a way that their circumferential ends can be joined in same distance as of radius's length. We draw two end points B, C. Joining A, B, C, we get a triangle ABC which is an equilateral triangle, making an angle ∠BAC = 60° at the centre and BC is the chord mentioned in the question.

Solution:

We have to find the arc length of BC.

Here radius of the circle, r = 9 cm,

    central angle, θ = 60°

Hence, arc length of BC is

    = 2πr (θ/360°)

    = 2π (9) * (60° / 360°) cm

    = 2 * (22/7) * 9 * (1/6) cm

    = 9.43 cm

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